37 citations · 94 across the 37 of their papers we have counts for
37 papers
Structure and unique factorization in concordance groups of links
Kouki Sato, Akira Yasuhara
Donald and Owens introduced two link concordance groups with a marked component and showed that they contain the knot concordance group as a direct summand with infinitely generate…
Combinatorial link concordance using cut-diagrams
Benjamin Audoux, Jean-Baptiste Meilhan, Akira Yasuhara
Cut-diagrams are diagrammatic objects, defined in dimensions 1 and 2, that generalize links in 3-space and surface-links in 4-space; in dimension 1, this coincides with the theory…
k-reduced groups and Milnor invariants
Benjamin Audoux, Jean-Baptiste Meilhan, Akira Yasuhara
We characterize, in an algebraic and in a diagrammatic way, Milnor string link invariants indexed by sequences where any index appears at most times, for any fixed . Th…
The Dabkowski-Sahi invariant and -moves for links
Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara
Dabkowski and Sahi defined an invariant of a link in the -sphere, which is preserved under -moves. This invariant is a quotient of the fundamental group of the complement of…
Combinatorial approach to Milnor invariants of welded links
Haruko A. Miyazawa, Kodai Wada, Akira Yasuhara
For a classical link, Milnor defined a family of isotopy invariants, called Milnor -invariants. Recently, Chrisman extended Milnor -invariants to welded lin…
Link concordances as surfaces in 4-space and the 4-dimensional Milnor invariants
Jean-Baptiste Meilhan, Akira Yasuhara
Fixing two concordant links in --space, we study the set of all embedded concordances between them, as knotted annuli in --space. When regarded up to surface-concordance or l…